Abstract
The model of the real sector of the Russian economy is presented. It allows for the separate description of GDP and its components by expenditure both in constant and in current prices. Unlike standard macroeconomic models, the model proposed considers a set of Trader agents in addition to Producer agent. Traders are based on a set of CES-functions and allow to decompose the statistics available into a set of unobserved components. The Producer is based on a specific production function that performs well for Russian data and works with financial variables, such as credits and bank accounts. In contrary to the standard approach, the model is not linearized to get estimates of model parameters but is estimated directly using a set of nonlinear equations. The optimization is performed numerically and allows to get both series of unobserved model products and their prices and model parameters. The stability of the solution found is checked on simulated data.
The reported study was supported by the Russian Scientific Fund, research project No. 14-11-00432.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
An, S., Schorfheide, F.: Bayesian analysis of DSGE models. Econ. Rev. 26(2–4), 113–172 (2007)
Andreev, M., Pilnik, N., Pospelov, I.G., Vrzheshch, V.P., Masyutin, A.: Intertemporal three-product general equilibrium model of Russian economy. Int. J. Arts Sci. 6(1), 125–145 (2013)
Bilbiie, F.O., Ghironi, F., Melitz, M.J.: Endogenous entry, product variety, and business cycles. J. Polit. Econ. 120(2), 304–345 (2012)
Birgin, E.G., Martinez, J.M., Raydan, M.: Algorithm 813: SPG-software for convex-constrained optimization. ACM Trans. Math. Softw. (TOMS) 27(3), 340–349 (2001)
Chatterjee, S., Cooper, R.: Entry and exit, product variety and the business cycle (No. w4562). National Bureau of Economic Research (1993)
Christiano, L., Eichenbaum, M., Rebelo, S.: When Is the government spending multiplier large? J. Polit. Econ. 119, 78–121 (2011)
Dixit, A.K., Stiglitz, J.E.: Monopolistic competition and optimum product diversity. Am. Econ. Rev. 67(3), 297–308 (1977)
Etro, F., Rossi, L.: New-Keynesian Phillips curve with Bertrand competition and endogenous entry. J. Econ. Dyn. Control 51, 318–340 (2015)
Guo, J.T., Krause, A.: Changing social preferences and optimal redistributive taxation. Oxford Econ. Pap. 70(1), 73–92 (2017)
Hamano, M., Zanetti, F.: Endogenous product turnover and macroeconomic dynamics. Rev. Econ. Dyn. 26, 263–279 (2017)
Minniti, A., Turino, F.: Multi-product firms and business cycle dynamics. Eur. Econ. Rev. 57, 75–97 (2013)
Pilnik, N., Pospelov, I., Stankevich, I.: Multiproduct Model Decomposition of Components of Russian GDP. NRU Higher School of Economics. Series WP BRP “Economics/EC”. No. WP BRP 111/EC/2015 (2015)
Pilnik, N., Radionov, S.: On new approaches to the identification of blocks of general equilibrium models. Proc. MIPT 3(35), 151–161 (2017)
Smets, F., Wouters, R.: Shocks and frictions in US business cycles: a Bayesian DSGE approach. Am. Econ. Rev. 97(3), 586–606 (2007)
Varadhan, R., Gilbert, P.: BB: an R package for solving a large system of nonlinear equations and for optimizing a high-dimensional nonlinear objective function. J. Stat. softw. 32(4), 1–26 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Stankevich, I., Ujegov, A., Vasilyev, S. (2019). Estimation of Multiproduct Models in Economics on the Example of Production Sector of Russian Economy. In: Evtushenko, Y., Jaćimović, M., Khachay, M., Kochetov, Y., Malkova, V., Posypkin, M. (eds) Optimization and Applications. OPTIMA 2018. Communications in Computer and Information Science, vol 974. Springer, Cham. https://doi.org/10.1007/978-3-030-10934-9_33
Download citation
DOI: https://doi.org/10.1007/978-3-030-10934-9_33
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-10933-2
Online ISBN: 978-3-030-10934-9
eBook Packages: Computer ScienceComputer Science (R0)